The Arithmetic of Clocks 3.

The Gaussian-School of Higher-Arithmetic (1831, updated 2022); tutorial #21 page 3.

The Arithmetic of Clocks, page 3.

The green zero-circle is a member of a doubly unbounded (from minus infinity to plus infinity) geometric series of circles and we can arbitrarily assign any member of the infinite set to be the zero-circle; the index numbers of all the others just fall into line with our arbitrary selection from within the double ended infinite geometrical progression of numerical magnitude. 

Click on the above sketch to proceed with the tutorial.
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